NON-ERGODIC JACKSON NETWORK.

Jonathan B. Goodman; William A. Massey

doi:10.1017/S0021900200037554

NON-ERGODIC JACKSON NETWORK.

Jonathan B. Goodman, William A. Massey

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The authors generalize Jackson's theorem to the non-ergodic case. Here, despite the fact that the entire Jackson network will not achieve steady state, it is still possible to determine the maximal subnetwork that does. They do so by formulating and algorithmically solving a new non-linear throughput equation. These results, together with the ergodic results and the ones for closed networks, completely characterize the large-time behavior of any Jackson network.

Original language	English (US)
Pages (from-to)	860-869
Number of pages	10
Journal	Journal of Applied Probability
Volume	21
Issue number	4
DOIs	https://doi.org/10.1017/S0021900200037554
State	Published - 1984

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1017/S0021900200037554

Cite this

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title = "NON-ERGODIC JACKSON NETWORK.",

abstract = "The authors generalize Jackson's theorem to the non-ergodic case. Here, despite the fact that the entire Jackson network will not achieve steady state, it is still possible to determine the maximal subnetwork that does. They do so by formulating and algorithmically solving a new non-linear throughput equation. These results, together with the ergodic results and the ones for closed networks, completely characterize the large-time behavior of any Jackson network.",

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NON-ERGODIC JACKSON NETWORK.

Abstract

ASJC Scopus subject areas

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